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{
"metadata": {
"name": "",
"signature": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter6 - Oscillators"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Exa 6.1 - page 438"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"# Given data\n",
"Vf= 0.0125 # in volt\n",
"Vo= 0.5 # in volt\n",
"Beta= Vf/Vo \n",
"# For oscillator A*Beta= 1\n",
"A= 1/Beta \n",
"print \"Amplifier Should have a minimum gain of\",A,\"to provide oscillation\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Amplifier Should have a minimum gain of 40.0 to provide oscillation\n"
]
}
],
"prompt_number": 25
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Exa 6.2 - page 439"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from numpy import pi, sqrt\n",
"# Given data\n",
"R1= 50 # in kohm\n",
"R1=R1*10**3 # in ohm\n",
"R2=R1 # in ohm\n",
"R3=R2 # in ohm\n",
"C1= 60 # in pF\n",
"C1= C1*10**-12 # in F\n",
"C2=C1 # in F\n",
"C3=C2 # in F\n",
"f= 1/(2*pi*R1*C1*sqrt(6)) \n",
"print \"Frequency of oscilltions = %0.2f kHz\" %( f*10**-3)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Frequency of oscilltions = 21.66 kHz\n"
]
}
],
"prompt_number": 26
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Exa 6.3 - page 445"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from numpy import pi\n",
"# Given data\n",
"R1= 200 # in kohm\n",
"R1=R1*10**3 # in ohm\n",
"R2=R1 # in ohm\n",
"C1= 200 # in pF\n",
"C1= C1*10**-12 # in F\n",
"C2=C1 # in F\n",
"f= 1/(2*pi*R1*C1) # in Hz\n",
"print \"Frequency of oscilltions = %0.2f kHz\" %(f*10**-3)\n",
"\n",
"# Note: Calculation to find the value of f in the book is wrong, so answer in the book is wrong"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Frequency of oscilltions = 3.98 kHz\n"
]
}
],
"prompt_number": 27
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Exa 6.4 - page 460"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from numpy import pi, sqrt\n",
"# Given data\n",
"L= 100 # in \u00b5H\n",
"L= L*10**-6 # in H\n",
"C1= .001 # in \u00b5F\n",
"C1= C1*10**-6 # in F\n",
"C2= .01 # in \u00b5F\n",
"C2= C2*10**-6 # in F\n",
"C= C1*C2/(C1+C2) # in F\n",
"# (i)\n",
"f= 1/(2*pi*sqrt(L*C)) # in Hz\n",
"print \"Operating frequency = %0.f kHz\" %(round(f*10**-3))\n",
"# (ii)\n",
"Beta= C1/C2 \n",
"print \"Feedback fraction = %0.1f \" %Beta\n",
"# (iii)\n",
"# A*Bita >=1, so Amin*Bita= 1\n",
"Amin= 1/Beta \n",
"print \"Minimum gain to substain oscillations is\",Amin"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Operating frequency = 528 kHz\n",
"Feedback fraction = 0.1 \n",
"Minimum gain to substain oscillations is 10.0\n"
]
}
],
"prompt_number": 28
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Exa 6.5 - page 460"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from numpy import pi, sqrt\n",
"# Given data\n",
"L= 15 # in \u00b5H\n",
"L= L*10**-6 # in H\n",
"C1= .004 # in \u00b5F\n",
"C1= C1*10**-6 # in F\n",
"C2= .04 # in \u00b5F\n",
"C2= C2*10**-6 # in F\n",
"C= C1*C2/(C1+C2) # in F\n",
"f= 1/(2*pi*sqrt(L*C)) # in Hz\n",
"print \"Frequency of oscilltions = %0.1f kHz\" %(f*10**-3)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Frequency of oscilltions = 681.5 kHz\n"
]
}
],
"prompt_number": 29
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Exa 6.6 - page 461"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from numpy import pi, sqrt\n",
"# Given data\n",
"L= 0.01 # in H\n",
"C= 10 # in pF\n",
"C= C*10**-12 # in F\n",
"f= 1/(2*pi*sqrt(L*C)) # in Hz\n",
"print \"Frequency of oscilltions = %0.2f kHz\" %(f*10**-3)\n",
"# Note: Calculation to find the value of f in the book is wrong, so answer in the book is wrong"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Frequency of oscilltions = 503.29 kHz\n"
]
}
],
"prompt_number": 30
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Exa 6.7 - page 466"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from numpy import pi\n",
"# Given data\n",
"R1= 220 # in kohm\n",
"R1=R1*10**3 # in ohm\n",
"R2=R1 # in ohm\n",
"C1= 250 # in pF\n",
"C1= C1*10**-12 # in F\n",
"C2=C1 # in F\n",
"f= 1/(2*pi*R1*C1) \n",
"print \"Frequency of oscilltions = %0.2f Hz\" %f"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Frequency of oscilltions = 2893.73 Hz\n"
]
}
],
"prompt_number": 31
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Exa 6.8 - page 467"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from numpy import pi\n",
"from math import tan\n",
"# Given data\n",
"R= 10 # in kohm\n",
"R=R*10**3 # in ohm\n",
"f=1000 \n",
"fie= 60 # in \u00b0\n",
"# The impedence of given circuit , Z= R+j*1/(omega*C)\n",
"# the phase shift, tan(fie)= imaginary part/ Real part\n",
"# tand(fie) = 1/(omega*R*C)\n",
"C= 1/(2*pi*R*tan(fie*pi/180)) \n",
"print \"The value of C = %0.2f \u00b5F\" %(C*10**6)\n",
"# Note : There is an calculation error to evaluate the value of C, So the answer in the book is wrong"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The value of C = 9.19 \u00b5F\n"
]
}
],
"prompt_number": 32
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Exa 6.9 - page 467"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from numpy import pi, sqrt\n",
"# Given data\n",
"L= 50 # in \u00b5H\n",
"L= L*10**-6 # in H\n",
"C1= 300 # in pF\n",
"C1= C1*10**-12 # in F\n",
"C2= 100 # in pF\n",
"C2= C2*10**-12 # in F\n",
"C_eq= C1*C2/(C1+C2) # in F\n",
"f= 1/(2*pi*sqrt(L*C_eq)) # in Hz\n",
"print \"Frequency of oscillations = %0.1f MHz\" %(f*10**-6)\n",
"Beta= C2/C1 \n",
"# (iii)\n",
"# A*Beta >=1, so A*Bita= 1 (for sustained oscillations)\n",
"Amin= 1/Beta \n",
"print \"Minimum gain to substain oscillations is\",Amin"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Frequency of oscillations = 2.6 MHz\n",
"Minimum gain to substain oscillations is 3.0\n"
]
}
],
"prompt_number": 33
}
],
"metadata": {}
}
]
}
|
